TORUS BIFURCATIONS IN MULTILEVEL CONVERTER SYSTEMS

DOI10.1142/S0218127411029835zbMath1248.34073OpenAlexW2022411416MaRDI QIDQ3165837

Olga O. Yanochkina, Zhanybai T. Zhusubaliyev, Erik Mosekilde

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411029835

zbMATH Keywords

quasiperiodicityborder-collision bifurcationspiecewise-smooth dynamical systemstorus birth bifurcations

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Circuits, networks (94C99) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

Border collision and heteroclinic bifurcations in a 2D piecewise smooth map ⋮ Multistability and hidden attractors in a multilevel DC/DC converter ⋮ A new finding of the existence of hidden hyperchaotic attractors with no equilibria ⋮ Nested Closed Invariant Curves in Piecewise Smooth Maps

Cites Work

• Coexisting tori and torus bubbling in non-smooth systems
• Equilibrium-torus bifurcation in nonsmooth systems
• Birth of bilayered torus and torus breakdown in a piecewise-smooth dynamical system
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Nonsmooth mechanics. Models, dynamics and control.
• The Hicksian floor-roof model for two regions linked by interregional trade
• Border-collision bifurcations on a two-dimensional torus
• Border-collision bifurcations in a dynamic management game
• TWO-PARAMETER DISCONTINUITY-INDUCED BIFURCATIONS OF LIMIT CYCLES: CLASSIFICATION AND OPEN PROBLEMS
• Bifurcations in Nonsmooth Dynamical Systems
• Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps
• Torus Destruction and Chaos–Chaos Intermittency in a Commodity Distribution Chain
• Torus birth bifurcations in a DC/DC converter
• Invariant polygons in systems with grazing-sliding
• BORDER-COLLISION BIFURCATIONS AND CHAOTIC OSCILLATIONS IN A PIECEWISE-SMOOTH DYNAMICAL SYSTEM

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